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vodka [1.7K]
3 years ago
14

As a town gets smaller, the population of its high school decreases by 8% each year. The senior class has 320 students now. In h

ow many years will it have about 100
students? Write an equation. Then solve the equation without graphing.
Mathematics
1 answer:
Semmy [17]3 years ago
6 0

Answer:

in 13.95 years the senior class will have 100 students.

Step-by-step explanation:

P(h) = p(0.92)^t (equation for exponential change)

P(h) - population of highschool (or senior class) = 100

p - staring amount = 320

t = time in years

100 = 320(0.92)^t

1/3.2 = .92^t (divide both sides by 320)

log(1/3.2, .92) = t (log base 0.92 of 1/3.2 equals t)

13.9497 = t

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Answer:

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Step-by-step explanation:

We start off with 3.2n + 13.3 = 26.1.

We need to get n by itself.

Subtract 13.3 from both sides.

3.2n+13.3-13.3=26.1-13.3

26.1-13.3=12.8

We end up with: 3.2n=12.8

Divide 3.2 on both sides to get n by itself.

\frac{3.2n}{3.2} =\frac{12.8}{3.2}\\ n=4

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